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66050760 = 23351134871
BaseRepresentation
bin1111101111110…
…1101011001000
311121021201121110
43323331223020
5113402111020
610315410320
71431264546
oct373755310
9147251543
1066050760
1134313a06
121a1539a0
13108b80b9
148ab4d96
155bea8e0
hex3efdac8

66050760 has 64 divisors (see below), whose sum is σ = 199946880. Its totient is φ = 17454080.

The previous prime is 66050759. The next prime is 66050767. The reversal of 66050760 is 6705066.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (66050767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125 + ... + 15995.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 266050760 is an apocalyptic number.

66050760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66050760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99973440).

66050760 is an abundant number, since it is smaller than the sum of its proper divisors (133896120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66050760 is a wasteful number, since it uses less digits than its factorization.

66050760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 66050760 is about 8127.1618662360. The cubic root of 66050760 is about 404.2275782123.

The spelling of 66050760 in words is "sixty-six million, fifty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 4871 6780 9742 13560 14613 19484 24355 29226 38968 48710 58452 73065 97420 116904 146130 194840 292260 550423 584520 1100846 1651269 2201692 2752115 3302538 4403384 5504230 6605076 8256345 11008460 13210152 16512690 22016920 33025380 66050760